4(6x+2)-5(x-2)=6x-54+x

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Solution for 4(6x+2)-5(x-2)=6x-54+x equation:


Simplifying
4(6x + 2) + -5(x + -2) = 6x + -54 + x

Reorder the terms:
4(2 + 6x) + -5(x + -2) = 6x + -54 + x
(2 * 4 + 6x * 4) + -5(x + -2) = 6x + -54 + x
(8 + 24x) + -5(x + -2) = 6x + -54 + x

Reorder the terms:
8 + 24x + -5(-2 + x) = 6x + -54 + x
8 + 24x + (-2 * -5 + x * -5) = 6x + -54 + x
8 + 24x + (10 + -5x) = 6x + -54 + x

Reorder the terms:
8 + 10 + 24x + -5x = 6x + -54 + x

Combine like terms: 8 + 10 = 18
18 + 24x + -5x = 6x + -54 + x

Combine like terms: 24x + -5x = 19x
18 + 19x = 6x + -54 + x

Reorder the terms:
18 + 19x = -54 + 6x + x

Combine like terms: 6x + x = 7x
18 + 19x = -54 + 7x

Solving
18 + 19x = -54 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
18 + 19x + -7x = -54 + 7x + -7x

Combine like terms: 19x + -7x = 12x
18 + 12x = -54 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + 12x = -54 + 0
18 + 12x = -54

Add '-18' to each side of the equation.
18 + -18 + 12x = -54 + -18

Combine like terms: 18 + -18 = 0
0 + 12x = -54 + -18
12x = -54 + -18

Combine like terms: -54 + -18 = -72
12x = -72

Divide each side by '12'.
x = -6

Simplifying
x = -6

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